Title of article
Individual behaviors of oriented walks
Author/Authors
Fan، نويسنده , , Aihua، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2000
Pages
13
From page
263
To page
275
Abstract
Given an infinite sequence t=(εk)k of −1 and +1, we consider the oriented walk defined by Sn(t)=∑k=1nε1ε2…εk. The set of tʹs whose behaviors satisfy Sn(t)∼bnτ is considered (b∈R and 0<τ⩽1 being fixed) and its Hausdorff dimension is calculated. A two-dimensional model is also studied. A three-dimensional model is described, but the problem remains open.
Keywords
random walk , Oriented walk , Hausdorff dimension , Riesz product
Journal title
Stochastic Processes and their Applications
Serial Year
2000
Journal title
Stochastic Processes and their Applications
Record number
1576728
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